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Simplifying 8m + -2(3m + -6) * m = 0 Reorder the terms: 8m + -2(-6 + 3m) * m = 0 Reorder the terms for easier multiplication: 8m + -2m(-6 + 3m) = 0 8m + (-6 * -2m + 3m * -2m) = 0 8m + (12m + -6m2) = 0 Combine like terms: 8m + 12m = 20m 20m + -6m2 = 0 Solving 20m + -6m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(10 + -3m) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(10 + -3m)' equal to zero and attempt to solve: Simplifying 10 + -3m = 0 Solving 10 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3m = 0 + -10 -3m = 0 + -10 Combine like terms: 0 + -10 = -10 -3m = -10 Divide each side by '-3'. m = 3.333333333 Simplifying m = 3.333333333Solution
m = {0, 3.333333333}
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